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We analyze the statistical properties of the turbulent velocity field in the deflagration model for Type Ia supernovae. In particular, we consider the question of whether turbulence is isotropic and consistent with the Kolmogorov theory at…

Solar and Stellar Astrophysics · Physics 2011-02-11 F. Ciaraldi-Schoolmann , W. Schmidt , J. C. Niemeyer , F. K. Roepke , W. Hillebrandt

This review puts the developments of the last few years in the context of the canonical time line (Kolmogorov to Iroshnikov-Kraichnan to Goldreich-Sridhar to Boldyrev). It is argued that Beresnyak's objection that Boldyrev's alignment…

Plasma Physics · Physics 2022-07-21 Alexander A. Schekochihin

Superfluid turbulence is governed by two dimensionless parameters. One of them is the intrinsic parameter q which characterizes the relative value of the friction force acting on a vortex with respect to the non-dissipative forces. The…

Soft Condensed Matter · Physics 2016-08-31 G. E. Volovik

We study turbulence in self-gravitating superfluids by performing direct numerical simulations of the 3D Gross-Pitaevskii-Poisson (GPP) equation, which is also a model for dark matter haloes around galaxies. In the absence of self-gravity,…

Fluid Dynamics · Physics 2025-11-05 Sanjay Shukla

Is there really such a thing as weak turbulence? Here we analyze turbulence of weakly interacting waves using the tools of information theory. It offers a unique perspective for comparing thermal equilibrium and turbulence: the mutual…

Fluid Dynamics · Physics 2020-09-09 Gregory Falkovich , Michal Shavit

A new scaling theory for spinodal decomposition in the inertial hydrodynamic regime is presented. The scaling involves three relevant length scales, the domain size, the Taylor microscale and the Kolmogorov dissipation scale. This allows…

Condensed Matter · Physics 2009-10-31 V M Kendon

A dynamical model is proposed for isotropic turbulence driven by steady forcing that yields a viscosity independent dynamics for the small-scale (inertial) regime. This reproduces the Kolmogorov spectrum for the two-point velocity…

Statistical Mechanics · Physics 2011-07-04 Mohammad Mehrafarin

It has long been established that turbulence energy spectra scale on the Kolmogorov (1941) variables over a wide range of Reynolds numbers and in vastly different physical systems, depending only on the dissipation rate, the kinematic…

Fluid Dynamics · Physics 2018-12-24 W. D. McComb , M. Q. May

Wave turbulence describes the long-time statistical behavior of out-of-equilibrium systems composed of weakly interacting waves. Non-Hermitian media ranging from open quantum systems to active materials can sustain wave propagation in…

Quantum turbulence that exhibits vortex creation, annihilation and interactions is demonstrated as an exact solution of the time-dependent, free-particle Schr\"odinger equation evolved from a smooth random-phased initial condition. Relaxed…

Quantum Physics · Physics 2011-07-08 Tzihong Chiueh , Tak-Pong Woo , Hung-Yu Jian , Hsi-Yu Schive

This two-part review summarizes interstellar turbulence and its implications. The first part begins with diagnostics and energy sources. Turbulence theory is considered in detail, including the basic fluid equations, solenoidal and…

Astrophysics · Physics 2008-11-26 Bruce G. Elmegreen , John Scalo

Theoretical considerations are made of superfluid turbulence in the Kelvin wave cascade regime at low temperatures (T < 1K) and length scales of the order or smaller than the intervortical distance. The energy spectrum is shown to be in…

Other Condensed Matter · Physics 2017-12-07 Bhimsen Shivamoggi

It is shown that in the framework of the weak turbulence theory, the autocorrelation and cascade timescales are always of the same order of magnitude. This means that, contrary to the general belief, any model of turbulence which implies a…

Plasma Physics · Physics 2015-05-13 G. Gogoberidze , S. M. Mahajan , S. Poedts

The spectrum of turbulence in superfluid liquid is modified by the nonlinear energy dissipation caused by the mutual friction between quantized vortices and the normal component of the liquid. In some region of two Reynolds parameters…

Chaotic Dynamics · Physics 2009-11-10 Victor S. L'vov , Sergey V. Nazarenko , Grigory E. Volovik

We sample a velocity field that has an inertial spectrum and a skewness that matches experimental data. In particular, we compute a self-consistent correction to the Kolmogorov exponent and find that for our model it is zero. We find that…

Other Condensed Matter · Physics 2025-10-20 Alex Arenas , Alexandre Chorin

The kinetic wave equation arises in wave turbulence to describe the Fourier spectrum of solutions to the cubic Schroedinger equation. The equation has two Kolmogorov-Zakharov steady states corresponding to out-of-equilibrium cascades…

Analysis of PDEs · Mathematics 2022-09-13 Charles Collot , Helge Dietert , Pierre Germain

The conventional approach to the turbulent energy cascade, based on Richardson-Kolmogorov phenomenology, ignores the topology of emerging vortices, which is related to the helicity of the turbulent flow. It is generally believed that…

Fluid Dynamics · Physics 2015-12-09 Rodion Stepanov , Ephim Golbraikh , Peter Frick , Alexander Shestakov

Rotating turbulence is ubiquitous in nature. Previous works suggest that such turbulence could be described as an ensemble of interacting inertial waves across a wide range of length scales. For turbulence in macroscopic quantum…

The transition from laminar to turbulent flow is an immensely important topic that is still being studied. Here we show that complex plasmas, i.e., microparticles immersed in a low temperature plasma, make it possible to study the…

Plasma Physics · Physics 2024-01-30 Eshita Joshi , Markus H Thoma , Mierk Schwabe

Shell model turbulence is a simplified mathematical framework that captures essential features of incompressible fluid turbulence such as the energy cascade, intermittency and anomalous scaling of the fluid observables. We perform a…

Fluid Dynamics · Physics 2024-09-09 James Creswell , Viatcheslav Mukhanov , Yaron Oz
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